Huxley exponential sums curves
WebThe number of lattice points inside C is approximately AM2. If C has continuous non-zero radius of curvature, the number of lattice points is accurate to order of magnitude at … Web1 nov. 2003 · M. Huxley Mathematics 1993 A Van der Corput exponential sum is S = Σ exp (2 π i f (m)) where m has size M, the function f (x) has size T and α = (log M) / log T …
Huxley exponential sums curves
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WebMARTIN N. HUXLEY Abstract: The construction of resonance curves in the author's monograph 'Area, Lattice Points, and Exponential Sums' is modified so that the … WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Suppose you have a closed curve. How do you find the area inside? While I was writing my first paper on exponential sums and lattice points, my seven year old daughter came home from school and said. "I know how you find the area of a curve. You count the squares". …
Web17 aug. 2024 · Professor Martin Huxley Emeritus Professor of Mathematics School of Mathematics [email protected] +44 (0)29 2087 5551 E/1.10, 1st Floor, Mathematics Institute, Senghennydd Road, Cardiff, CF24 4AG … Web16 dec. 2004 · A Van der Corput exponential sum is $S = \Sigma \exp (2 \pi i f (m))$, where $m$ has size $M$, the function $f (x)$ has size $T$ and $\alpha = (\log M) / \log T …
WebM.N. Huxley (1996b), “The integer points close to a curveII”inAnalytic Number Theory, Proceedings of a Conference in Honor of Heini Halberstam 2, 487–516 ( Birkhäuser, Boston ). Google Scholar M.N. Huxley, “The integer points close to a curve III”in Number Theory in Progress I1(1999), 911–940 (de Gruyter, Berlin). Google Scholar http://mathsdemo.cf.ac.uk/maths/research/researchgroups/numbertheory/exponential/index.html
WebEXPONENTIAL SUMS AND LATTICE POINTS II M. N. HUXLEY [Received 10 June 1991] ABSTRACT The area A inside a simple closed curve C can be estimated graphically by …
WebEXPONENTIAL SUMS WITH A PARAMETER M. N. HUXLEY and N. WATT [Received 12 August 1988—Revised 6 December 1988] ABSTRACT Let F(x,y) be a real function with sufficiently many derivatives existing and satisfying certain non-vanishing conditions for 1 ^ … townhomes middletown njWebM. N. Huxley, Integer points, exponential sums and the Riemann zeta function, Number Theory for the Millennium, Natick 2002, vol. II, 275-290. G. R. H. Greaves, G. Harman, … townhomes milford ohioWeb16 dec. 2004 · A Van der Corput exponential sum is $S = \Sigma \exp (2 \pi i f (m))$, where $m$ has size $M$, the function $f (x)$ has size $T$ and $\alpha = (\log M) / \log T < 1$. There are different bounds for $S$ in different ranges for $\alpha $. In the middle range where $\alpha $ is near $ {1\over 2}$, $S = O (\sqrt {M} T^ {\theta + \epsilon })$. townhomes midlothian txWeb13 jun. 1996 · This book is a thorough treatment of the developments arising from the method developed by Bombieri and Iwaniec in 1986 for estimating the Riemann zeta … townhomes milford deWeb1 mei 1990 · On the way we obtain results on two-dimensional exponential sums, the average rounding error of the values of a smooth function at equally spaced arguments, … townhomes midlothian vaWebp-adic estimates of exponential sums on curves Joe Kramer-Miller Abstract The purpose of this article is to prove a “Newton over Hodge” result for exponential sums on curves. Let Xbe a smooth proper curve over a finite field F q of characteristic p≥3 and let V ⊂Xbe an affine curve. For a regular function fon V, we may form the L-function townhomes mill creekWeb1 nov. 2003 · This paper sets up an iteration step from a strong hypothesis about integer points close to curves to a bound for the discrepancy, the number of integer points … townhomes milford pa